document.write( "Question 570859: minimum number of individual shoes to be picked up from a dark room(containing 10 pair of shoes). if we have to get at least one proper pair \n" ); document.write( "
Algebra.Com's Answer #367819 by Edwin McCravy(20055)\"\" \"About 
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document.write( "11 individual shoes, for if you picked up only 10, you could possibly pick 10\r\n" );
document.write( "left shoes and no right shoes, or vice-versa.  But if so, the 11th one has to\r\n" );
document.write( "match one of the other 10.\r\n" );
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document.write( "For your information:\r\n" );
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document.write( " If you pick          then the probability of\r\n" );
document.write( "this many shoes,     getting one matched pair is\r\n" );
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document.write( "       1                        0\r\n" );
document.write( "       2                     1/19 = .053\r\n" );
document.write( "       3                     3/19 = .158 \r\n" );
document.write( "       4                   99/323 = .307\r\n" );
document.write( "       5                  155/323 = .480\r\n" );
document.write( "       6                  211/323 = .653\r\n" );
document.write( "       7                  259/323 = .802\r\n" );
document.write( "       8                3815/4199 = .909  \r\n" );
document.write( "       9                4071/4199 = .970 \r\n" );
document.write( "      10              45933/46189 = .994 \r\n" );
document.write( "      11                        1 \r\n" );
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document.write( "If you pick 6 shoes out of the 20 you are more likely than \r\n" );
document.write( "not to have picked a matching part.\r\n" );
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document.write( "Edwin
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